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Finding the Fourth Proportional to 58,012.84, 86,871.57 and 38,231.41

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Solution

The fourth proportional to 58,012.84, 86,871.57 and 38,231.41 is: 57,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,012.84 : 86,871.57 = 38,231.41 : x
  2. Step 2: Convert to fraction form
    58,012.84/86,871.57 = 38,231.41/x
  3. Step 3: Cross multiply
    58,012.84x = 86,871.57 × 38,231.41
  4. Step 4: Simplify right side
    58,012.84x = 3,321,222,610.01
  5. Step 5: Solve for x
    x = 3,321,222,610.01/58,012.84
  6. Step 6: Final answer
    x = 57,249.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.